Answer Key

Chapter 7 – Multiplication and Division of Fractions 7.1

Answer Key

Multiplication of Fractions by Whole Numbers

Answers 1. 3

2. 8

3. 13

4. 8

5. 6

6. 7

7. 12

8. 10

9. 5

10. 7

11. 4

12. 6

13. 4

14. 2

15. 4.5

7.2

Multiplication of Whole Numbers by Fractions

Answers 1. 6

2. 4

3. 2

4. 4.5

5. 2 4/7

6. 2 2/3

7. 7 ½

8. 9

9. 6

10. 4

11. 7

12. 7

13. 12

14. 11

15. 7

16. 5

7.3

Product Estimation with Whole Numbers and Fractions

Answers 1. 3

2. 8

3. 13

4.12

5. 8

6. 5

7. 15

8. 10

9. 20

10. 30

11. 3

12. 11

13. 3

14. 2

15. 60

7.4

Products of Two Fractions

Answers 1. 1/18

2. 1/8

3. 4/15

4. 3/7

5. 1/32

6. 1/6

7. 1/10

8. 1/5

9. 14/27

10. 2/3

11. 1/3

12. 4/49

13. 12/35

14. 2/9

15. 16/45

16. ¼

CK-12 Middle School Math Concepts - Grade 6

1

Chapter 7 – Multiplication and Division of Fractions 7.5

Answer Key

Products of Three Fractions

Answers 1. 1/24

2. 1/36

3. 1/18

4. 1/15

5. 1/9

6. 1/42

7. 5/36

8. 15/56

9. 4/25

10. ½

11. 32/63

12. 14/33

13. 4/15

14. 9/16

15. 11/27

7.6

Expression Evaluation with Products of Fractions

Answers 1. 2/5

2. 2/15

3. 4/13

4. 4/15

5. 1/9

6. 16/25

7. 1/3

8. 1/27

9. 1/9

10. 1/3

11. ¾

12. 4/9

13. 9/19

14. 2/5

15. ¾

7.7

Products of Mixed Numbers

Answers 1. 9 1/3

2. 20

3. 20

4. 16 2/3

5. 22 ½

6. 31 ½

7. 19 4/5

8. 13 ½

9. 18

10. 39

11. ¾

12. 2 1/3

13. 1 2/3

14. 3

15. 1 1/15

16. 1 2/3

17. 1 11/49

18. 7 ½

19. 8 1/6

20. 17 7/8

21. 5 17/20

22. 3 ½

23. 90 ¼

24. 1 1/24

25. 1 1/3

7.8

Expression Evaluation with Products of Mixed Numbers

Answers 1. 4 2/3

2. 3 ¾

3. 2

4. 6 ½

5. 8 ¼

6. 9 1/6

7. 7

8. 4 4/5

9. 7

10. 4 ¾

11. 6 ¾

12. 2 11/14

13. 2 2/3

14. 3 1/3

15. 6 9/14

16. 10 5/16

CK-12 Middle School Math Concepts - Grade 6

2

Chapter 7 – Multiplication and Division of Fractions 7.9

Answer Key

Identification and Writing of Reciprocal Fractions

Answers 1. 2/1

2. 3/2

3. 5/4

4. 12/11

5. 9/8

6. 10/9

7. 13/12

8. 2/11

9. 6/14

10. 3/8

11. 4/9

12. 7/11

13. 4/15

14. 7/18

15. 8/21

7.10

Division of Fractions by Whole Numbers

Answers 1. 12

2. 32

3. 36

4. 20

5. 15

6. 56

7. 12

8. 14

9. 36

10. 55

11. 1/6

12. 1/16

13. 1/27

14. 1/6

15. 4/21

16. 1/5

17. 3/28

18. 1/30

19. 4/9

20. 3/7

7.11

Division of Whole Numbers by Fractions

Answers 1. 24

2. 36

3. 112

4. 98

5. 24

6. 44

7. 60

8. 54

9. 13 1/3

10. 180

11. 16

12. 288

13. 108

14. 75

15. 81

7.12

Quotients of Fractions

Answers 1. 1 ½

2. 1 ¼

3. 4/5

4. 1 5/7

5. 1 ½

6. 1 1/3

7. 1 2/3

8. 1 1/5

9. 1 ½

10. 1 7/9

11. 4 11/16

12. 32/33

13. 1

14. 5/9

15. 1 1/8

CK-12 Middle School Math Concepts - Grade 6

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Answer Key

Chapter 7 – Multiplication and Division of Fractions 7.13

Division of Mixed Numbers by Fractions

Answers 1. 6

2. 6 ¼

3. 4 ½

4. 10

5. 7 ½

6. 9 ¾

7. 7

8. 21 2/3

9. 9

10. 21 1/3

11. 20

12. 12

13. 16 1/3

14. 3 ¾

15. 21 ¼

7.14

Quotients of Mixed Numbers

Answers 1. 3 ¾

2. 3/8

3. 7/9

4. 3

5. 3 2/3

6. 2 7/16

7. 9/11

8. 2 8/9

9. 2 2/15

10. 1

11. 4 4/9

12. 12 3/5

13. 5 5/9

14. 2 11/15

15. 3 ½

7.15

Identification of Equivalent Customary Units of Weight

Answers 1. 2 pounds

2. 96 ounces

3. 88 ounces

4. 3.75 pounds

5. 144 ounces

6. 2 tons

7. 8000 pounds

8. 7000 pounds

9. 3.25 tons

10. 14,500 pounds

11. 240 ounces

12. 50,000 pounds

13. 4 pounds

14. 5 pounds

15. 10,000 pounds

7.16

Identification of Equivalent Customary Units of Capacity

Answers 1. 24 ounces

2. 4 cups

3. 2 pints

4. 16 cups

5. 4 pints

6. 32 quarts

7. 6 gallons

8. .5 gallons

9. 8 pints

10. 1 pint

11. 256 ounces

12. 1,280 ounces

13. 3 gallons

14. 24 pints

15. 48 cups

CK-12 Middle School Math Concepts - Grade 6

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Chapter 7 – Multiplication and Division of Fractions 7.17

Answer Key

Selection of Appropriate Weights or Capacity Units

Answers 1. pounds

2. Tons

3. Ounces

4. Tons

5. Pounds

6. Ounces

7. gallons

8. Tons

9. Gallons

10. Ounces

11. Tons

12. Tons

13. tons

14. Pounds

15. Ounces

7.18

Conversion of Customary Units by Multiplying

Answers 1. 10,000 pounds

2. 72 inches

3. 18,000 pounds

4. 128 ounces

5. 30 inches

6. 7000 pounds

7. 36 ounces

8. 72 ounces

9. 10 cups

10. 14 cups

11. 16 pints

12. 2 pints

13. 24 quarts

14. 31 quarts

15. 42,240 feet

16. 36 inches

17. 63,360 feet

7.19

Conversion of Customary Units by Dividing

Answers 1. 1.5 gallons

2. 2 feet

3. 1.5 feet

4. 1 gallon

5. 6 quarts

6. 12.5 quarts

7. .25 gallons

8. 2.25 gallons

9. 3.75 gallons

10. 8.25 feet

11. 12.25 gallons

12. 6 tons

13. 11 tons

14. 2.5 tons

15. 10 tons

7.20

Problem Solving Plan, Choose an Operation

Answers 1. $6.00

2. $12.00

3. $4.80 each ( uneven division)

4. $60

5. $600

6. $120 per week

7. $22

8. 140 pages

9. 128 barrettes

10. 123

11. 180

12. 8 pounds

13. 26 fish

14. 4.19”

15. 2.09 inches

CK-12 Middle School Math Concepts - Grade 6

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